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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.21255 |
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| _version_ | 1866910252154224640 |
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| author | Prodinger, Helmut |
| author_facet | Prodinger, Helmut |
| contents | $a_n=[x^n](1-x)^{-n}(1-x^2)^{-n}$ is the sequence A348410 in the Encyclopedia of Integer Sequences. Using a method from Hautus and Klarner from 1971 and the software \textsf{Gfun} we find an algebraic equation for the generating function $g(z)=\sum_na_nz^n$.
The second identity uses the \emph{generalized binomial series}, popularized in the textbook \emph{Concrete mathematics}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21255 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The generating function of A348410 in OEIS using the diagonal method and another sequence (A001008) from OEIS Prodinger, Helmut Combinatorics $a_n=[x^n](1-x)^{-n}(1-x^2)^{-n}$ is the sequence A348410 in the Encyclopedia of Integer Sequences. Using a method from Hautus and Klarner from 1971 and the software \textsf{Gfun} we find an algebraic equation for the generating function $g(z)=\sum_na_nz^n$. The second identity uses the \emph{generalized binomial series}, popularized in the textbook \emph{Concrete mathematics}. |
| title | The generating function of A348410 in OEIS using the diagonal method and another sequence (A001008) from OEIS |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.21255 |